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dc.creatorEscassut, Alain
dc.date2021-04-14
dc.date.accessioned2021-08-17T20:35:27Z
dc.date.available2021-08-17T20:35:27Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2607
dc.identifier10.4067/S0719-06462021000100161
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/174250
dc.descriptionLet IK be a complete ultrametric field and let \(A\) be a unital commutative ultrametric Banach IK-algebra. Suppose that the multiplicative spectrum admits a partition in two open closed subsets. Then there exist unique idempotents \(u,\ v\in A\) such that \(\phi(u)=1, \ \phi(v)=0 \ \forall \phi \in U, \ \phi(u)=0 \ \phi(v)=1 \ \forall \phi \in V\). Suppose that IK is algebraically closed. If an element \(x\in A\) has an empty annulus \(r<|\xi-a|<s\) in its spectrum \(sp(x)\), then there exist unique idempotents \(u,\ v\) such that \(\phi(u)=1, \ \phi(v)=0\) whenever \( \phi(x-a)\leq r\) and \(\phi(u)=0, \ \phi(v)=1\) whenever \(\phi(x-a)\geq s\).en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2607/2058
dc.rightsCopyright (c) 2021 A. Escassuten-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 23 No. 1 (2021); 161–170en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 23 Núm. 1 (2021); 161–170es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectultrametric Banach algebrasen-US
dc.subjectmultiplicative semi-normsen-US
dc.subjectidempotentsen-US
dc.subjectaffinoid algebrasen-US
dc.titleIdempotents in an ultrametric Banach algebraen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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